1. Math 5 Patterns & Expressions Instructor: Mrs. Tew Turner

2. In this lesson we will learn how you can use patterns to show relationships.

3. Math Warm-up An airplane left Seattle, Washington, USA at 9:45 A.M. and arrived in Los Angeles at 1:15 P.M. How long was the flight? Try to do this mentally.

4. Math Warm-up-ANSWER An airplane left Seatle, Washington, USA at 9:45 A.M. and arrived in Los Angeles at 1:15 P.M. How long was the flight. 3 ½ hours How did you do? You can count hours with fingers and then the left over minutes was changed to show a fraction…30 min. out of 60 min = 1/2

5. In this lesson we will answer the question: How do I evaluate patterns and expressions to find the unknown variables?

6. Vocabulary Review Algebraic expression- a mathematical phrase involving variables, numbers, and operations. Variable- is a letter or symbol that represents an unknown amount that can change.

7. Vocabulary Review Operations – Addition, Subtraction, Multiplication, and Division Represent – a symbol to replace something else.

8. Patterns & Expressions Dianesta wanted to buy tickets to the concert for herself and some friends. What is the total cost of all the tickets? Let t = the number of tickets purchased. What is it that we need to know or want to find out?

9. Patterns & Expressions Dianesta wanted to buy tickets to the concert for herself and some friends. What is the total cost of all the tickets? x4+4 # of TicketsTotal Cost 28.00 312.00 416.00 520.00 t4 x t

10. Patterns & Expressions x4+4 # of TicketsTotal Cost 28.00 312.00 416.00 520.00 t4 x t Dianesta saw a pattern: Each ticket increased by 4 dollars.

11. Patterns & Expressions Dianesta saw a pattern: Each ticket increased by 4 dollars. She wrote an algebraic expression to show the relationship between the number of tickets and the total cost. The total cost of tickets for any number of friends can be represented by the algebraic expression: 4 x t.

12. Document Camera Get your notebook and pencil ready. Make sure you have the Lesson # and date on your page.

13. Patterns & Expression 1. Megan and Tenai have the same birthday, but Tenai is 6 years older. In the table, m is Megan’s age and m + 6 is Tenai’s age. Complete the table. m35? M + 6??14

14. Patterns & Expression 2. When Megan was 5 years old, how old was Tenai? 3. What was Megan’s age when Tenai was 14? m35? M + 6??14

15. Patterns & Expression 4. Writing to Explain If you know Tenai’s age, how can you find Megan’s age? m35? M + 6??14

16. Patterns & Expression Handout: Problem Solving with using tablesfor Document Camera. To be used to complete for your homework after reviewing a few problems together.

17. In your Math Notebook Independent Practice Evaluate each expression for n = 5 and n = 2. 1.40 n 2.4.5 + n 3.16n 4.50 – n 5.8n

18. Look for patterns to solve for the unknown quantities in algebraic expressions. Step 1: Look for the change that is consistent to create a predictable pattern. Step 2: Solve for the unknown variable to find the correct quantity. Lesson Review

19. Quick Check Complete the table and look for the pattern. What is the rule? In your Math Notebook Baskets made510 Shots Attempted 20406080100

20. Quick Check-ANSWERS Complete the table and look for the pattern. The rule: s ÷ 4 = Baskets made In your Math Notebook Baskets made510152025 Shots Attempted 20406080100

21. Today you learned how to use patterns to show relationships. Good Work with this lesson.